Study of a mixed problem for a nonlinear elasticity system by topological degree

"In this paper, we consider a mixed problem for a nonlinear elasticity system with laws of general behavior. The coefficients of elasticity depends on x meanwhile the density of the volumetric forces depends on the displacement. The main aim of this paper is to apply the Schauder's fixed point theorem and the techniques of topological degree to prove a theorem of the existence and the uniqueness of the solution of the corresponding variational problem."

Download Full-text

Positive Solutions for Fractional Differential Equations from Real Estate Asset Securitization via New Fixed Point Theorem

Abstract and Applied Analysis ◽

10.1155/2012/842358 ◽

2012 ◽

Vol 2012 ◽

pp. 1-11 ◽

Cited By ~ 1

Author(s):

Hao Tao ◽

Meichen Fu ◽

Ru Qian

Keyword(s):

Fixed Point ◽

Fixed Point Theorem ◽

Real Estate ◽

Point Theorem ◽

Control Process ◽

Asset Securitization ◽

Uniqueness Of The Solution ◽

Fractional Differential ◽

Optimization Schemes ◽

Weakly Contractive

We study a fractional differential equation dynamics model arising from the analysis of real estate asset securitization by using the generalized fixed point theorem for weakly contractive mappings in partially ordered sets. Based on the analysis for the existence and uniqueness of the solution and scientific numerical calculation of the solution, in further study, some optimization schemes for traditional risk control process will be obtained, and then the main results of this paper can be applied to the forefront of research of real estate asset securitization.

Download Full-text

Recent Fixed-Point Results for θ − Contraction Mappings in Rectangular M − Metric Spaces with Supportive Application

Journal of Mathematics ◽

10.1155/2021/5564248 ◽

2021 ◽

Vol 2021 ◽

pp. 1-9

Author(s):

Mustafa Mudhesh ◽

Hasanen A. Hammad ◽

Habes Alsamir ◽

Muhammad Arshad ◽

Eskandar Ameer

Keyword(s):

Integral Equation ◽

Fixed Point ◽

Fixed Point Theorem ◽

Theoretical Result ◽

Point Theorem ◽

Existence And Uniqueness ◽

Nonlinear Integral Equation ◽

Metric Spaces ◽

Contraction Mappings ◽

Uniqueness Of The Solution

The goal of this manuscript is to present a new fixed-point theorem on θ − contraction mappings in the setting of rectangular M-metric spaces (RMMSs). Also, a nontrivial example to illustrate our main result has been given. Moreover, some related sequences with θ − contraction mappings have been discussed. Ultimately, our theoretical result has been implicated to study the existence and uniqueness of the solution to a nonlinear integral equation (NIE).

Download Full-text

Investigation of a Mild Solution to Coupled Systems of Impulsive Hybrid Fractional Differential Equations

International Journal of Differential Equations ◽

10.1155/2019/2618982 ◽

2019 ◽

Vol 2019 ◽

pp. 1-9

Author(s):

Mohamed Hannabou ◽

Hilal Khalid

Keyword(s):

Fixed Point ◽

Fixed Point Theorem ◽

Differential Equations ◽

Point Theorem ◽

Fractional Differential Equations ◽

Coupled System ◽

Coupled Systems ◽

Banach Fixed Point Theorem ◽

Uniqueness Of The Solution ◽

Fractional Differential

The study of coupled systems of hybrid fractional differential equations requires the attention of scientists for the exploration of their different important aspects. Our aim in this paper is to study the existence and uniqueness of the solution for impulsive hybrid fractional differential equations. The novelty of this work is the study of a coupled system of impulsive hybrid fractional differential equations with initial and boundary hybrid conditions. We used the classical fixed-point theorems such as the Banach fixed-point theorem and Leray–Schauder alternative fixed-point theorem for existence results. We also give an example of the main results.

Download Full-text

The topological degree of A-proper mapping in the Menger PN-space (I)

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972700038740 ◽

2006 ◽

Vol 73 (2) ◽

pp. 161-168 ◽

Cited By ~ 3

Author(s):

Huang Xiaoqin ◽

Wang Miansen ◽

Zhu Chuanxi

Keyword(s):

Fixed Point ◽

Fixed Point Theorem ◽

Point Theorem ◽

Topological Degree ◽

Proper Mapping

In this paper, we introduce the concept of A-proper topological degree in Menger PN-space and study some of its properties. Utilising its properties, we obtain a new fixed point theorem.

Download Full-text